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Question

A man uses $$\dfrac {1}{3}$$ of his land for growing mangoes, $$\dfrac {1}{4}$$  for bananas, $$\dfrac {3}{8}$$ for apples and the remaining $$18$$ hectares for oranges.
(b) how much land does he use for growing apples?


Solution

Let the total land in hectares be $$x$$,

According to question,

$$\dfrac{x}{3}+\dfrac{x}{4}+\dfrac{3x}{8}+18=x$$

$$\implies \dfrac{x}{24}=18$$

$$\implies x=432$$


Hence, land use for apples $$=\dfrac{3\times432}{8}=162\    hectares$$

Mathematics

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